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3 years ago

Divide the number 480 in a ratio of 3:5

Mathematics

2 answers:

Schach [20]3 years ago

6 0

If it is a ratio of 3:5 you are dividing 480 into 8 parts (3+5).

So divide 480 by 8: 480/8 = 60

Then the ratio is (3x60):(5x60) or 180:300

To check it is correct, add up the two parts to see that they come to 480:

180+300 = 480. All good.

Hope this helps

stepan [7]3 years ago

6 0

Answer:

The number 480 after dividing in the ratio 3:5 are 180 and 300

Step-by-step explanation:

We have to divide the number 480 in the ratio 3:5

Let the numbers after dividing be 3x and 5x

(3x:5x=3:5)

3x+5x=480

⇒ 8x=480

Dividing both sides by 8, we get

x=60

So, the numbers after dividing are:

3×60=180

and 5×60=300

Hence, the number 480 after dividing in the ratio 3:5 are 180 and 300

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2 years ago

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3 years ago

Read 2 more answers

If sin θ = 1/2 , then find the value of (sin 3 θ)/(1+ cos 2 θ)

Ipatiy [6.2K]

EXPLANATION:

Given that

sin θ = 1/2

We know that

sin 3θ = 3 sin θ - 4 sin³ θ

⇛sin 3θ = 3(1/2)-4(1/2)³

⇛sin 3θ = (3/2)-4(1/8)

⇛sin 3θ = (3/2)-(4/8)

⇛sin 3θ = (3/2)-(1/2)

⇛sin 3θ = (3-1)/2

⇛sin 3θ = 2/2

⇛sin 3θ = 1

and

cos 2θ = cos² θ - sin² θ

⇛cos 2θ = 1 - sin² θ - sin² θ

⇛cos 2θ = 1 - 2 sin² θ

Now,

cos 2θ = 1-2(1/2)²

⇛cos 2θ = 1-2(1/4)

⇛cos 2θ = 1-(2/4)

⇛cos 2θ = 1-(1/2)

⇛cos 2θ = (2-1)/2

⇛cos 2θ = 1/2

Now,

The value of sin 3θ /(1+cos 2θ

⇛1/{1+(1/2)}

⇛1/{(2+1)/2}

⇛1/(3/2)

⇛1×(2/3)

⇛(1×2)/3

⇛2/3

Answer : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.

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7 0

2 years ago

I need help. this is the problem x^2/3+10=7x^1/3

Arlecino [84]

$\it x^{\frac{2}{3}}+10=7x^{\frac{1}{3}} \Leftrightarrow (x^{\frac{1}{3}})^2-7x^{\frac{1}
 {3}} +10=0 
\\\;\\
We\ note\ x^{\frac{1}{3}} =t \ \ and \ the \ equation \ will \ be:
\\\;\\
t^2-7t+10 = 0 \Leftrightarrow t^2 -2t-5t+10=0 \Leftrightarrow t(t-2) -5(t-2)=0$

$\it \Leftrightarrow (t-2)(t-5)=0 
\\\;\\
t-2=0 \Rightarrow t=2 \Rightarrow x^{\frac{1}{3}}=2 \Rightarrow (x^{\frac{1}{3}})^3 =2^3 \Rightarrow x = 8
\\\;\\
t-5=0 \Rightarrow t=5 \Rightarrow x^{\frac{1}{3}}= 5 \Rightarrow (x^{\frac{1}{3}})^3 = 5^3 \Rightarrow x = 125$

S = {8; 125}

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3 years ago

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Nady [450]

Answer:

a. 19.68 miles per gallon.

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$z=\frac{X-\mu}{\sigma}$

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b. The third quartile of the distribution of gas mileage is

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3 years ago